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5th Grade Math SOL
POWER UP
Review for all SOL Standards
By: Tracy Cabacoy
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Name: Date:
5.1 Rounding Decimals
1. What is 7,489.91 rounded to the nearest whole number?
2. What is 368.57 rounded to the nearest whole number?
3. What is 368.57 rounded to the nearest tenths place?
4. What is 9,643.81 rounded to the nearest whole number?
5. What is 9,643.81 rounded to the nearest tenths place?
6. What is 9,643.818 rounded to the nearest hundredths place?
7. What is 568.49 rounded to the nearest whole number?
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8. What is 568.49 rounded to the nearest tenths place?
9. What is 5,607.91 rounded to the nearest whole number?
10. What is 5,607.91 rounded to the nearest tenths place?
11. What is 75.691 rounded to the nearest whole number?
12. What is 75.691 rounded to the nearest tenths place?
13. What is 75.691 rounded to the nearest hundredths place?
14. What is 6,816.649 rounded to the nearest whole number?
15. What is 6,816.649 rounded to the nearest tenths place?
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Name: _ Date:
5.2 Fractions and Decimals
4 1. Which decimal is equivalent to ?
5
A. 0.40
B. 0.45
C. 0.54
D. 0.80
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2. Which decimal is equivalent to ? 3
A. 0.333
B. 0.23
C. 0.66
D. 0.6
5
3. What decimal is equivalent to ? 8
3
4. What decimal is equivalent to ? 9
5
2 5. Which decimal is equivalent to ?
5
A. 0.20
B. 0.25
C. 0.40
D. 0.45
5
6. What decimal is equivalent to ? 12
3 7. What decimal is equivalent to ?
12
3
8. What decimal is equivalent to ? 4
6
9. Which list of numbers is ordered from least to greatest?
3 A. , 0.22,
12
8 , 0.75
9
8 B. , 0.75,
9
3 , 0.22 12
C. 0.22, 3 8
, 0.75,
12 9
3 8 D. 0.22, 0.75, ,
12 9
10. Which list of numbers is ordered from greatest to least?
A. 3 1
2
, 3 1
, 3 5
5 9
, 3 6 10
B. 3 1
5
, 3 1
, 3 2
5 9 , 3
6 10
9 C. 3
10
5 1 1 , 3 , 3 , 3
6 5 2
9 D. 3
10
5 1 1 , 3 , 3 , 3
6 2 5
, , 0.75, 0.22
3
1 , 3
5 , 3
9 , 3
1
7
11. Which list of numbers is ordered from least to greatest?
1 2 A. , 0.3, 0.75,
4 3
1 B. , 0.3,
4
2 , 0.75
3
1 C. 0.3, ,
4
2 , 0.75
3
1 D. ,
4
2 , 0.3, 0.75
3
1 3 12. Students are comparing their heights. Juan is 4 feet tall, Leroy is 4 , Julian is
2 1
4 feet tall, and Samantha is 4 5 4
feet tall. Which student is the tallest?
3 12
A. Juan
B. Leroy
C. Julian
D. Samantha
5 3 13. Students are comparing their heights. Juan is 4 feet tall, Leroy is 4 , Julian is
2 5
4 feet tall, and Samantha is 4 6 4
feet tall. Which student is the tallest?
3 12
A. Juan
B. Leroy
, , 0.75, 0.3
8
C. Julian
D. Samantha
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Name: Date:
5.3 Even and Odd – Prime and Composite
1. A set of basketball uniforms contains only odd-numbered jerseys. Which could
be three of the jersey numbers from this set of uniforms?
A. 11, 33, 66
B. 25, 41, 77
C. 21, 35, 54
D. 44, 52, 70
1. A set of basketball uniforms contains only even-numbered jerseys. Which
could be three of the jersey numbers from this set of uniforms?
A. 11, 33, 66
B. 25, 41, 77
C. 21, 35, 54
D. 40, 58, 70
3. A set of basketball uniforms contains only odd-numbered jerseys. Which could
be three of the jersey numbers from this set of uniforms?
A. 38, 57, 92
B. 25, 41, 68
C. 21, 67, 89
D. 44, 52, 70
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4. Tristan saw five helicopters parked at the airport.
Which list shows all of the odd numbers on the helicopters?
A. 52, 44
B. 11, 39
C. 11, 39, 75
D. 11, 39, 44, 52
5. Tristan saw five helicopters parked at the airport.
Which list shows all of the even numbers on the helicopters?
A. 52, 44
B. 11, 39
C. 11, 39, 75
D. 11, 39, 44, 52
44 39
52
75 11
44 39
52
75 11
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6. Which of the following digits could be found in the ones place of a number that
is divisible by 2?
A. 0
B. 1
C. 5
D. 9
7. Which of the following digits could be found in the ones place of a number that
is divisible by 2?
A. 1
B. 4
C. 7
D. 9
8.
Which of the following digits could be found in the ones place of a number that
is divisible by 2?
A. 9
B. 7
C. 5
D. 0
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9. Which set contains only prime numbers?
A. 1, 5, 9, 13
B. 2, 5, 9, 13
C. 2, 5, 7, 15
D. 2, 5, 7, 19
10. Which set contains only prime numbers?
A. 13, 23, 33, 43
B. 17, 81, 89, 93
C. 19, 31, 53, 87
D. 11, 23, 47, 97
11. Which set contains only composite numbers?
A. 1, 4, 8, 15
B. 9, 25, 39, 81
C. 2, 8, 24, 46
D. 21, 29, 33, 97
12. Which set contains only composite numbers?
A. 14, 55, 63, 72
B. 9, 25, 39, 83
C. 2, 8, 24, 41
D. 21, 29, 33, 97
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Name: Date:
5.4 – Computation with Whole Numbers
1. A parking garage has 15 levels. Each level has 82 parking spaces. What is the
total number of parking spaces in the garage?
A. 97
B. 410
C. 492
D. 1,230
2. Frank purchased 36 cartons of eggs. Each carton has 18 eggs. What is the total
number of eggs that Frank purchased?
A. 54
B. 324
C. 648
D. 936
3. Maria has 235 boxes of pencils. Each box has 48 pencils. What is the total
number of pencils Maria has?
A. 11,280
B. 283
C. 1,880
D. 17,420
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4. Mariana has a total of 312 eggs. Using these eggs, she will fill empty egg
cartons that each hold 12 eggs. What is the greatest number of egg carts that
Mariana can fill completely?
A. 25
B. 26
C. 324
D. 3,744
5. Ms. Jones made a total of 296 cookies. She has 24 students in her class. If she
gives each student the same number of cookies, what is the greatest number of
cookies she can give?
A. 12
B. 13
C. 272
D. 7,104
6. The state of Virginia has a total area of 29,683 square miles. The state of
Maryland has a total of 9,894 square miles. How much larger is the total area of
Virginia than Maryland?
A. 19,789
B. 20,211
C. 20,889
D. 39,577
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7. The state of Virginia has a total area of 31,841 square miles. The state of
Maryland has a total of 9,287 square miles. What is the total area of Maryland
and Virginia?
A. 22,554
B. 38,646
C. 40,128
D. 41,128
8. The population of Springfield is 30,484. The population of Burke is 57,747.
What is the total population of Springfield and Burke combined?
A. 27,343
B. 27,263
C. 88,231
D. 89,121
9. The population of Springfield is 30,484. The population of Burke is 57,747.
What is the difference between the population in Burke and the population in
Springfield?
A. 27,343
B. 27,263
C. 88,231
D. 89,121
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10. Grace purchased 42 cupcakes for $2 each and 80 muffins for $3 each. What is
the total cost of the cupcakes and muffins that Grace purchased?
11. Marvin went to the movies with his 5 friends. The tickets cost $12 each, a
cup of popcorn cost $5 each, and a soda cost $4 each. What is the total cost for
Marvin and his friends to go to the movies if they each purchase a ticket, cup of
popcorn, and soda?
12. Lindsey is making fruit salad for a picnic. Each fruit salad feeds 6 people.
How many fruit salads should Lindsey make for the 252 guests at the picnic?
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13. Pablo needs to buy 4 new shirts for school. Below is the cost of a shirt at two
different stores.
Store Shirt Cost
A $18 B $12
What is the total amount of money Pablo will save if he purchases all 4 shirts at
Store B instead of Store A?
14. Daniella has 3 boxes of pictures to put into a photo album.
• Box A has 25 pictures.
• Box B has 73 pictures.
• Box C has 82 pictures.
Each page holds 8 pictures. How many pages does Daniella need if she puts all of
the pictures in a photo album?
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Name: _ Date:
5.5 – Decimal Computation
1. 4.5 x 3.7 = ?
A. 49.531
B. 48.531
C. 47.011
D. 46.759
2. 12.8 x 0.89 = ?
3. 15.72 ÷ 0.3 = ?
4. 15.6 ÷ 4 = ?
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5. What is the product of 6.04 and 3.1?
A. 18.724
B. 18.624
C. 2.416
D. 2.016
6. What is the product of 7.58 and 4.2?
A. 1.516
B. 3.032
C. 31.836
D.
32.93’-p7.
645.12 ÷ 8 = ?
8. 24.354 ÷ 6 = ?
9. 94.32 ÷ 3 = ?
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10. This table shows the weights of Daniel’s three dogs.
Daniel’s Dogs
Name Weight (in Kilograms)
Harvey 4.8
Wilson 12.5
Davey 25.6
What is the difference between the combined weight of Harvey and Davey and
the weight of Wilson?
kilograms
11. Finn is measuring the height of the globe. He knows the total height is 18.75
inches, and the bottom section is 12.9 inches. What is the height of the top
section? Use the diagram to help answer the question.
inches
12.9 in
18.75 in
? in
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12. The cost for a movie ticket is $6.25. Soft drinks cost $2.50 each. What is the
total cost for 14 people to each purchase a movie ticket and a soft drink?
A. $35.00
B. $37.50
C. $115.50
D. $122.50
13. Kara bought 3 packages of chicken. The total weight of the chicken in these
packages is 8.41 pounds. This table shows the weight of the chicken in two
packages.
Packages of Chicken
Package Weight (in pounds)
X 2.49
Y ?
Z 3.14
What is the weight of the chicken in package Y?
A. 5.63
B. 3.22
C. 2.78
D. 2.72
14. Nathan bought 1.2 pounds of apples for $4.30 per pound and 0.6 pounds of
bananas for $0.70 per pound. What is the total cost for the apples and bananas?
$ _
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Name: Date: _
5.6 – Adding and Subtracting Fractions
1. Michael has a total of 12 pies to serve. This table shows the amounts of pie
Michael has already severed.
Michael’s Pies Pie Cherry Peach Apple
Amount Served 1 2
4
2 2
3
1 3
2
Which mixed number represents the total amount of pie Michael has left to serve?
A. 8 5
12
B. 7 11
12
7 C. 3
12
1 D. 4
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2. David has a total of 8 pizzas to serve. This table shows the amounts of pie David
has already severed.
David’s Pizzas Pizza Cheese Peperoni Veggie
Amount Served 1 2
2
3 1
4
7
8 Which mixed number represents the total amount of pizza David has left to serve?
1 A. 5
4
B. 5 1
8
7 C. 2
8
3 D. 2
4
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3. This chart shows the number of miles Tyrone walked on each of three days.
Tyrone’s Walking Chart
Day Number of Miles
1 3 2
4
2 1 1
2
3 5
6
What is the total number of miles Tyrone walked on these three days?
A. 3 1
12
C. 4 1
2
B. 4 1
4
D. 5 1
12
4. This chart shows the number of miles Tia walked on each of three days.
Tia’s Walking Chart
Day Number of Miles
1 3 1
4 2 1
3 2
3 2 1
3
What is the total number of miles Tyrone walked on these three days?
1 A. 5
4
11 C. 6
12
11 B. 5
12 D. 7
1
12
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5. This chart shows the number of miles Jose walked on each of three days.
Jose’s Walking Chart
Day Number of Miles
1 3 2
4
2 1 2
2
3 2 1
3
What is the difference between Day 1 and Day 3 combined and Day 2?
5 A. 4
12
11 B. 1
12
1 C. 2
12
1 D.
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6. At the end of May, Jenna’s height was 56 1
1 inches. At the end of September,
2
Jenna’s height was 57 inches. Exactly how much did Jenna grow between the 8
end of May and the end of September?
5 A. 1
8
5 B.
8
3
C. 8
3
D. 1 8
7. Jimmy has a bag containing 4 1
2 1
cups of sugar. She will use 1 3
4
cups of sugar to
make cookies and 3
cup of sugar to make pancakes. How many cups of sugar will
25
Jimmy have left after he has made cookies and pancakes?
cups
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8. Write the equation and product for the model below (in simplest form).
_ _ =
9. Abby is making cookies. She needs 1
cup of butter for each batch. How much 3
butter is needed for 5 batches of cookies?
A. 5 cups
B. 1 2
3
cups
3 C. cup
5
2 D. cup
3
10. Which equation matches the model below?
5 7 A. 3 × = 1
3 1
C. 5 × = 2
8 8 7 7
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3 B. 5 × = 3
3 7 D. 5 × = 1
5 8 8
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Name: Date: _
5.7 – Order of Operations
1. What is the value of this expression?
7 + 3(9-5)
A. 40
B. 19
C. 14
D. 6
2. What is the value of this expression?
27 ÷ 9 + 3(9-5)
A. 25
B. 24
C. 15
D. 10
3. What is the value of this expression?
24 ÷ 3 x 2(7-5)
A. 32
B. 24
C. 18
D. 8
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4. Based on the order of operations, which shows the first step in simplifying this
expression?
16 ÷ 2 + 6(7 + 4 x 5)
A. 8 + 6(7 + 4 x 5)
B. 16 ÷ 8(7 + 4 x 5)
C. 16 ÷ 2 + 6(9 x 5)
D. 16 ÷ 2 + 6(7 + 20)
5. Based on the order of operations, which shows the first step in simplifying this
expression?
24 ÷ 3 + 6(5 + 4 x 3)
A. 8 + 6(5 + 4 x 3)
B. 24 ÷ 3 + 6(5 + 12)
C. 24 ÷ 3 + 6(9 x 5)
D. 24 ÷ 9(5 + 4 x 3)
6. Based on the order of operations, which shows the first step in simplifying this
expression?
45 ÷ 5 - 6(9 + 3 x 2)
A. 45 ÷ 5 - 6(9 + 6)
B. 45 ÷ 5 - 6(12 x 2)
C. 45 ÷ 1(9 + 3 x 2)
D. 9 - 6(9 + 3 x 2)
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5.8 – Area, Perimeter, and Volume
1. To determine the amount of peanuts a bag will hold, Tony needs to find the –
A. area
B. length
C. volume
D. perimeter
2. To determine the amount of carpet to cover the floor, Kim needs to find the –
A. area
B. length
C. volume
D. perimeter
3. To determine the amount of fence Cameron needs to build around a garden,
he needs to find the –
A. area
B. length
C. volume
D. perimeter
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4. Perimeter is used to find the –
A. distance from a ceiling to the floor
B. amount of blacktop on a playground
C. amount of floor space covered by a carpet
D. distance around the edge of a swimming pool
5. Area is used to find the –
A. distance from a ceiling to the floor
B. amount of blacktop on a playground
C. amount of space inside of dresser drawer
D. distance around the edge of a swimming pool
6. Volume is used to find the –
A. distance from a ceiling to the floor
B. amount of blacktop on a playground
C. amount of space inside of dresser drawer
D. distance around the edge of a swimming pool
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7. Bethany want to make a sail for a boat. The sail is a right triangle with a base
of 4 feet and a height of 8 feet. How much fabric is needed to make the sail?
A. 12 square feet
B. 16 square feet
C. 24 square feet
D. 32 square feet
8. Marvin wants to paint a rectangular wall. The wall has a length of 5 feet and a
width of 10 feet. What is the total area that Marvin wants to paint?
A. 15 square feet
B. 25 square feet
C. 30 square feet
D. 50 square feet
9. Pablo has a fabric napkin that is a right triangle. The base of the triangle is 6
inches and the height is 10 inches. What is the area of the napkin?
A. 15 square inches
B. 30 square inches
C. 60 square inches
D. 120 square inches
8 ft
4 ft
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10. Marilyn is putting a fence around a square garden. The length of one side of
the garden is 9 feet. How much fencing is needed for the garden?
A. 18 feet
B. 36 feet
C. 42 feet
D. 81 feet
11. Jim is filling a fish tank with water. The fish tank is 12 inches wide, 18 inches
tall, and 30 inches long. How much water can fill the fish tank?
cubic inches
12. Henry is covering a floor with carpet. The floor is 15 feet wide and 12 feet
long. How much carpet is needed to cover the floor?
square feet
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Name: Date:
5.9 – Metric Measurement
1. 1 kilometer = 1,000 meters
Sam ran 3.75 kilometers. How many meters are equal to 3.75 kilometers?
A. 0.375
B. 375
C. 3,750
D. 37,500
2. 1 centimeter = 10 millimeters
85 millimeters = centimeters A.
0.85
B. 8.5
C. 850
D. 8,500
3. 1 kilogram = 1,000 grams
8.2 grams = kilogram(s)
A. 0.0082
B. 0.082
C. 820
D. 8,200
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4. 1 kilometer = 1,000 meters
75,000 meters = kilometers
5. 1 meter = 100 centimeters
200 centimeters = meters
6. 1 kilogram = 1,000 grams
A cat weighs 4.5 kilograms. How many grams are equivalent to 4.5 kilograms?
4.5 kilograms = grams
7. 1 Liter = 1,000 millimeters
A water bottle contains 750 millimeters. How many liters are in 750 milliliters?
750 milliliters = liters
8. Jim measured the length of a swimming pool. Which is closest to the length of
a swimming pool?
A. 12 centimeters
B. 12 meters
C. 12 kilometers
D. 12 Liters
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9. Maria weighed a banana. Which is the closest to the weight of a banana?
A. 100 grams
B. 100 kilograms
C. 10 centimeters
D. 10 meters
10. Kevin measured the amount of water in a glass. Which is the closest to the
amount of water in a glass?
A. 500 millimeters
B. 500 grams
C. 500 Liters
D. 500 milliliters
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Name: Date: _
5.10 - Circles
1. Point D is the center of the circle shown.
E
F
Which line segment is a radius of the circle?
A. EF
B. DE
C. FG
D. EG
2. Point D is the center of the circle shown.
E
F
Which line segment is a diameter of the circle?
A. EF
B. DE
C. FG
D. EG
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3. Point D is the center of the circle shown. E
D
G
F
Which line segment is a chord that is not the diameter of the circle?
A. EF
B. DE
C. FG
D. DF
4. Which of the following best describes the circumference?
A. The distance from the center of the circle to the edge
B. The distance from one side of the circle to the other crossing through the
center
C. The distance around a circle
D. The distance from one side of the circle to the other
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5. Point D is the center of a circle. E
D
G
F
The radius is 6 inches. What is the diameter?
A. 3 inches
B. 6 inches
C. 12 inches
D. 18 inches
6. The diameter of a circle 20 feet. What is the radius?
7. Point D is the center of a circle. E
D
G
F
The diameter is 8 inches. What is the radius?
A. 4 inches
B. 8 inches
C. 16 inches
D. 24 inches
feet
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8. The diameter of a circle 10 feet. What is the radius?
9. The radius of a circle 30 inches. What is the diameter?
10. The radius of a circle 8 inches. What is the diameter?
feet
inches
inches
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Name: Date: __
5.11 – Elapsed Time
1. Mario began watching a movie at the time shown on the clock.
The movie was 2 hours and 25 minutes long. What time did the movie end?
A. 7:55 P.M.
B. 8:30 P.M.
C. 9:30 P.M.
D. 9:55 P.M.
2. Luis went to a movie on Saturday. The movie started at 3:45 P.M. The movie
was 2 hours and 35 minutes long. What time did the movie end?
A. 5:20 P.M.
B. 6:20 P.M.
C. 6:25 P.M.
D. 6:35 P.M.
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3. Melinda had soccer practice that began at the time shown on the clock.
The practice was 1 hours and 25 minutes long. What time did the practice end?
A. 12:50 P.M.
B. 1:15 P.M.
C. 1:40 P.M.
D. 2:40 P.M.
4. Maria and Anthony went to Kings Dominion on Saturday. They arrived at the
park at 10:45 A.M. and left at 8:25 P.M. How long were Maria and Anthony at
Kings Dominion?
A. 9 hours and 20 minutes
B. 9 hours and 40 minutes
C. 10 hours and 20 minutes
D. 10 hours and 40 minutes
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Name: Date: _
5.12 – Classify and Measure Angels
1. Which is closest to the measure of angle T?
A. 35°
B. 41°
C. 139°
D. 142°
2. Which is closest to the measure of angle T?
A. 115°
B. 105°
C. 85°
D. 75°
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3. Which is closest to the measure of angle T?
A. 136°
B. 124°
C. 64°
D. 56°
4. Which is closest to the measure of angle T?
A. 18°
B. 22°
C. 162°
D. 178°
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5. Which is closest to the measure of angle T?
A. 52°
B. 57°
C. 133°
D. 147°
6. Which is closest to the measure of angle T?
A. 122°
B. 118°
C. 62°
D. 78°
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7. Which is closest to the measure of angle T?
A. 15°
B. 25°
C. 165°
D. 175°
8. Which is closest to the measure of angle T?
A. 84°
B. 96°
C. 104°
D. 114°
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9. Identify each angle that appears to be an acute angle.
10. Identify each angle that appears to be an obtuse angle.
48
11. Identify each angle that appears to be a right angle.
12. Identify each angle that appears to be an acute angle.
49
13. 13.
B
Angle ABC is 130°.
Angle ABD is 45°
What is the measure of angle DBC? °
14. 14.
Angle EFG is 145°. F
Angle HFG is 75°
What is the measure of angle EFH? °
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Name: _ Date:
5.13 – Classifying Triangles
1. Which triangle appears to be a scalene triangle?
A.
C.
B. D.
2. Which triangle appears to be an isosceles triangle?
A.
C.
B. D.
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3. Which triangle appears to be a right triangle?
A.
C.
B. D.
4. Which triangle appears to be an obtuse triangle?
A.
C.
B. D.
5. The sum of the angles of a triangle is equal to .
A. 90°
B. 180°
C. 270°
D. 360°
52
45°
?
6. Circle the three examples of isosceles triangles.
7. Find the measure of the missing angle.
A
B C
Angle C = °
53
60°
60° ?
?
70° 70°
8. Find the measure of the missing angle. A
B C
Angle C = °
9. Find the measure of the missing angle.
A
B C
Angle A = _°
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Name: _ Date:
5.14 – Geometry
1. Which picture shows a single reflection of the figure across line r?
A. r B.
C. D.
2. Which picture shows a single reflection of the figure across line r?
A. r B.
C. D.
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3. Which picture shows a single rotation?
A. B.
C. D.
4. Which picture shows a single translation?
A. B.
C. D.
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5. Which picture shows a single reflection?
A. B.
C. D.
6. This is a flat figure. Destiny plans to cute the figure along the dashed line
segments.
Identify the names of the three figures she will form.
Figure Names
Triangle Rhombus Parallelogram Square Trapezoid
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7. This is a flat figure. Destiny plans to cute the figure along the dashed line
segments.
Identify the names of the three figures she will form.
Figure Names Triangle Rhombus Parallelogram Square Trapezoid
8. These shapes were used to form this figure –
A. Rhombus, Rectangle, and Triangle
B. Trapezoid, Rectangle, and Triangle
C. Square, Trapezoid, and Triangle
D. Rectangle, Rhombus, and Triangle
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Name: Date: _
5.15 – Combinations and Probability
1. The chart shows the different shirts, pants, and shoes Simon has in his closet.
Outfit Choices
Color of Shirts Color of Pants Types of Shoes
• Navy (N)
• Red (R) • White (W)
• Khaki (K)
• Jeans (J)
• Boots (B)
• Sneakers (S)
Which lists all of the possible combinations Simon can create with one shirt, one
pair of pants, and one pair of shoes?
A. N, R, W
K, J
B, S
C. N, K, B
N, K, S
N, J, B
N, J, S
R, K, B
R, K, S
R, J, B
R, J, S
W, K, B
W, K, S
W, J, B
W, J, S
B. N, K, B
N, J, S
R, K, B
R, J, S
W, K, B
W, J, S
D. N, K, B
N, K, S
N, R, B
N, R, S
R, K, B
R, K, S
R, W, B
R, W, S
W, K, B
W, K, S
W, N, B
W, N, S
59
Blue, Purple
Blue, White
Green, Purple
Green, White
Orange, Purple
Orange, White
Red, Purple
Red, White
Yellow, Purple
Yellow, White
Blue, Purple
Green, White
Orange, Purple
Red, White
Yellow, Purple
2. Brad has 2 bags with blocks that are all the same shape and size. There are 5
blocks in Bag A and 2 blocks and Bag B as shown.
Blocks in Bags
Bag A Bag B
Blue Green
Orange Red
Yellow
Purple White
Brad will randomly select one block from each bag. Which list shows all of the
possible combinations of one block from each bag?
A. B.
C. D. Blue, Purple
Blue, Blue
Green, Purple
Green, Green
Orange, Purple
Orange, Orange
Red, Purple
Red, Red
Yellow, Purple
Yellow, Yellow
Blue, Purple
Blue, White
Green, Purple
Green, White
Orange, Purple
Red, White
Yellow, Purple
60
3. This sample space shows all the possible combinations of one type of main
dish and one type of drink from which Roberto can choose.
Cereal, Milk
Cereal, Juice
Eggs, Milk
Eggs, Juice
Pancakes, Milk
Pancakes, Juice
According to the sample space, what is the probability Roberto will select eggs
and juice?
2 1 A. C.
4 5
2 1 B. D.
6 6
4. This sample space shows all the possible combinations of one type of main
dish and one type of drink from which Roberto can choose.
Cereal, Milk
Cereal, Juice
Eggs, Milk
Eggs, Juice
Pancakes, Milk
Pancakes, Juice
According to the sample space, what is the probability Roberto will select a meal
with pancakes?
2 1 A. C.
4 5
2 1 B. D.
6 6
61
_ combinations
5. Sam rolled a six sided number cube with the numbers 1-6 on it. What is the
probability of rolling a composite number?
1 2 A. C.
2 3
2 1 B. D.
6 6
6. Millie rolled a six sided number cube with the numbers 1-6 on it. What is the
probability of rolling a prime number?
1 2 A. C.
2 3
2 1 B. D.
6 6
7. Randy has a bag with 3 red marbles, 4 blue marbles, 2 yellow marbles, and 3
white marbles. What is the probability of choosing a blue marble?
1 1 A. C.
2 4
1 1 B. D.
3 6
8. Randy has a bag with 3 red marbles, 4 blue marbles, 2 yellow marbles, and 3
white marbles. What is the probability of not choosing red marble?
1 1 A. C.
2 4
2 3 B. D.
3 4
9. Joy is making flower gifts. She can choose from pink, yellow, or white flowers.
She has clear and white vases. She can add pink, purple, white, or gold ribbon.
How many possible combinations can Joy make if she chooses one flower, one
vase, and one ribbon?
62
Name: Date: _
5.16 – Line Plots and Stem and Leaf Plots
1. This stem-and-leaf plot shows the number of pies sold at a bakery each day for
14 days.
Number of Pies Sold
Stem Leaf
1 8 9 9 9
2 4 4 5 5 5 5 5 6
3 0 0
Based on the information in the stem-and-leaf plot, which statement is correct?
A. The greatest number of pies sold on any day was 30.
B. The greatest number of pies sold on any day was 25.
C. The least number of pies sold on any day was 8.
D. The least number of pies sold on any day was 0.
2. Mrs. Miller kept track of the numbers of books each student in her 5th Grade
class read in one year.
Number of books read:
47, 75, 50, 47, 45, 70, 72, 42, 47, 41, 43, 55, 77, 47, 73, 51, 55, 72, 47, 59, 53
Number of Books Read
Stem Leaf
4
5
6
7
63
3. This stem-and-leaf plot shows the number of pies sold at a bakery each day for
20 days.
Number of Pies Sold
Stem Leaf
1 2 5 8 9 9 9
2 1 4 4 5 5 5 5 6
3 0 0 5 8 8 9
Based on the information in the stem-and-leaf plot, which statement is correct?
A. The greatest number of pies sold on any day was 30.
B. The greatest number of pies sold on any day was 20.
C. The least number of pies sold on any day was 12.
D. The least number of pies sold on any day was 0.
4. This stem-and-leaf plot shows the number of pies sold at a bakery each day for
14 days.
Number of Pies Sold
Stem Leaf
1 2 8 9 9
2 4 4 5 5 5 5 5 6
3 0 0 5
Based on the information in the stem-and-leaf plot, which statement is correct?
A. The greatest number of pies sold on any day was 30.
B. The greatest number of pies sold on any day was 35.
C. The least number of pies sold on any day was 2.
D. The least number of pies sold on any day was 0.
64
5. This stem-and-leaf plot shows the number of pies sold at a bakery each day for
20 days.
Number of Pies Sold
Stem Leaf
1 0 5 8 9 9 9
2 1 4 4 5 5 5 5 6
3 0 0 5 8 8 9
Based on the information in the stem-and-leaf plot, which statement is correct?
A. The greatest number of pies sold on any day was 30.
B. The greatest number of pies sold on any day was 9.
C. The least number of pies sold on any day was 10.
D. The least number of pies sold on any day was 0.
6. This line plot shows the number of points scored by students on a team.
Each X represents 1 student.
What was the total number of points scored by the students?
A. 42
B. 32
C. 24
D. 15
Number of Team Points
65
7. This line plot shows the number of boxes of cookies sold by a Girl Scout troop.
Each X represents 1 student.
What was the total number of Girls Scouts that sold cookies?
A. 42
B. 40
C. 22
D. 12
8. The line plot shows the number of books read by students in a 5th grade class.
Each X represents 1 student.
What is the total number of books read by the 5th grade class?
A. 60
B. 56
C. 28
D. 15
Number of Girl Scout Cookies Sold
Number Book Read
66
9. Mrs. Smith is making this line plot to show the number of books read by
each of her 22 students. Number of Books Read
Mrs. Smith has not recorded all the data for her students. For exactly how
many students does she still need to record the number of books read?
A. 4
B. 5
C. 6
D. 7
67
10. Hannah’s Girl Scout Troop is keeping track of the number of boxes that
each person purchases. Each X represents one person.
Number of Boxes Sold
Using the data in the line plot, create a stem and leaf plot.
Number of Boxes Sold
Stem Leaf
5
6
56 58 60 62 64
65
Name: Date: _
5.17 – Mean, Median, Mode, Range
1. This table shows the number of fish in each of 7 aquariums.
Fish in Aquariums
Aquarium 1 2 3 4 5 6 7
Number of Fish
19 30 24 30 39 25 22
Jeff emptied all the fish from these aquariums and put a fair share of these fish
into each of these 7 aquariums. The number of fish he will put into each
aquarium represents the –
A. mode
B. mean
C. range
D. median
2. A set of data is shown.
(24, 14, 37, 14, 25, 37, 14, 33, 27)
What is the mode of this set of data?
3. A set of data is shown.
(24, 14, 37, 14, 25, 37, 14, 33, 27)
What is the range of this set of data?
66
4. The table shows the number of point Ellie scored in each of five games.
Points Scored in Games
Game Points Scored
1 10
2 5
3 12
4 8
5 15
The range is 10 because it is the –
A. middle number of points scored
B. number of points scored the most often
C. fair share of the number of points she scored
D. measure of spread of points she scored
5. This set of data shows the number of pages that Caden read each night for 5
nights.
(15, 12, 18, 10, 30)
What is the range for this set data?
A. 20
B. 18
C. 17
D. 15
67
6. This set of data shows the number of pages that Caden read each night for 5
nights.
(15, 12, 18, 10, 30)
What is the mean for this set data?
A. 20
B. 18
C. 17
D. 15
7.
This set of data shows the number of pages that Caden read each night for 5
nights.
(15, 12, 18, 10, 30)
What is the median for this set data?
A. 20
B. 18
C. 17
D. 15
8. A set of data is shown.
(34, 12, 34, 12, 25, 37, 12, 33, 27)
What is the range of this set of data?
68
9. A set of data is shown.
(34, 12, 34, 12, 25, 37, 12, 33, 27)
What is the mode of this set of data?
10. A set of data is shown.
(34, 12, 34, 12, 25, 37, 12, 33, 27)
What is the median of this set of data?
11. A set of data is shown.
(45, 17, 41, 17, 23, 41, 19, 17, 41)
What is the mode of this set of data?
12. A set of data is shown.
(45, 17, 41, 17, 23, 41, 19, 17, 41)
What is the median of this set of data?
68
13. A set of data is shown.
(45, 18, 42, 17, 23, 43, 19, 17, 41, 35)
What is the mean of this set of data?
14. A set of data is shown.
(45, 18, 41, 17, 23, 41, 19, 17, 41, 35)
What is the mode of this set of data?
15. A set of data is shown.
(35, 18, 32, 17, 23)
What is the mean of this set of data?
16. A set of data is shown.
(35, 18, 32, 17, 23)
What is the range of this set of data?
70
17. A set of data is shown.
(35, 18, 32, 17, 23)
What is the median of this set of data?
18. A set of data is shown.
(35, 18, 32, 17, 23, 13)
What is the mean of this set of data?
19. The mean is the –
A. middle number
B. number that occurred the most often
C. fair share of the numbers
D. difference between the highest and lowest number
20. The mode is the –
A. middle number
B. number that occurred the most often
C. fair share of the number
D. difference between the highest and lowest number
71
Name: _ Date:
5.18 - Patterns
1. A number machine uses a rule to change numbers. This table shows the
results.
Number Machine Results Input Output
20 5 36 9
44 11 84 21
Which could be the rule the number machine uses to change the input numbers
to the output numbers?
A. Add 15
B. Subtract 15
C. Divide by 4
D. Multiply by 4
2. Which rule can be used to find the next number in this increasing pattern?
5, 7, 11, 17, 25, 35, 47,
A. Add 8 to 47
B. Add 10 to 47
C. Add 12 to 47
D. Add 14 to 47
72
3. A number machine uses a rule to change numbers. This table shows the
results.
Number Machine Results
Input Output
2.4 3.6 4.0 5.2 5.6 6.8
9.4 10.6
Which could be the rule the number machine uses to change the input numbers
to the output numbers?
A. Subtract 1.2
B. Multiply by 1.5
C. Add 1.2
D. Divide by 1.5
4. Which rule can be used to find the next number in this increasing pattern?
𝟏
𝟔 , 𝟓 𝟑
𝟔 , 𝟏
𝟔
𝟏 , 𝟐
𝟔
𝟓 , 𝟐
𝟔
1 A. Add
6 to 2
5
6
4 B. Add
6 to 2
5
6
C. Add 2 1
6
to 2 5
6
D. Add 2 5
6
to 2 5
6
73
5. What is the 7th term in this decreasing pattern?
73, 64, 56, 49, 43, …
6. A number machine uses a rule to change numbers. This table shows the
results.
Number Machine Results
Input Output
25 5 40 8
65 13
85 17
Which could be the rule the number machine uses to change the input numbers
to the output numbers?
A. Add 20
B. Subtract 20
C. Divide by 5
D. Multiply by 5
7. Which rule can be used to find the next number in this increasing pattern?
4, 6, 9, 13, 18, 24, 31, 39,
A. Add 7 to 39
B. Add 8 to 39
C. Add 9 to 39
D. Add 10 to 39
74
8. A number machine uses a rule to change numbers. This table shows the
results.
Number Machine Results
Input Output
2 18 7 63 10 90
12 108
Which could be the rule the number machine uses to change the input numbers
to the output numbers?
A. Add 16
B. Subtract 16
C. Divide by 9
D. Multiply by 9
9. Which rule can be used to find the next number in this increasing pattern?
12, 13, 15, 18, 22, 27, 33, 40,
A. Add 7 to 40
B. Add 8 to 40
C. Add 9 to 40
D. Add 10 to 40
10. What is the 7th term in this decreasing pattern?
82, 70, 58, 46, 34 …
75
Name: Date:
5.19 - Algebra
1. Ms. Chapman wrote this equation on the board.
2 + n = 8
She drew a model of this equation using this key.
Key
= n
= 1
Which model best represents Ms. Chapman’s equation?
A. = B. =
C. = D. =
2. Jordan needs to walk 6 more miles this week to reach his weekly goal of 28
miles. Which number sentence can be used to find n, the total number of miles
that Jordan has walked so far this week?
A. n = 6 + 28
B. n + 6 = 28
C. n = 6 x 28
D. n – 6 = 28
76
3. Which situation could be represented by the open sentence 15 -5 = p?
A. Stuart is reading a book that has a total of 15 chapters. He reads 5 chapters
every day. How many days will it take Stuart to finish this book?
B. Stuart is reading a book that has a total of 15 chapters. He has already read 5
chapters. How many chapters of the book are left for Stuart to read?
C. Stuart is reading a book that has a total of 15 chapters. This book has 5
chapters less than the book Stuart read last week. How many chapters were in
the book Stuart read last week?
D. Stuart is reading a book that has a total of 15 chapters. This is 5 times the
number of chapters as the book Stuart read last week. How many chapters were
in the book Stuart read last week?
4. Sylvia has 18 pieces of red, cherry-flavored candy to share equally among
friends. If f represents the number of friends she shared the candy, which is the
variable expression to represent this situation?
A. 18 + f
B. 18 – f
C. 18f
18 D.
𝑓
77
5. Ms. Chapman wrote this equation on the board.
3 + n = 8
She drew a model of this equation using this key.
Key
= n
= 1
Which model best represents Ms. Chapman’s equation?
A. = B. =
C. = D. =
6. Jared has a full box of cookies and 6 more cookies. He has a total of 42
cookies. Which number sentence can be used to find c, the total number of
cookies in a full box of cookies?
A. n = 42 + 6
B. n + 6 = 42
C. 6n = 42
D. 42 = n - 6
78
7. Which situation could be represented by the open sentence 20 + 5 = p?
A. Stuart is reading a book that has a total of 20 chapters. He reads 5
chapters every day. How many days will it take Stuart to finish this
book?
B. Stuart is reading a book that has a total of 20 chapters. He has
already read 5 chapters. How many chapters of the book are left for
Stuart to read?
C. Stuart is reading a book that has a total of 20 chapters. This book
has 5 chapters less than the book Stuart read last week. How many
chapters were in the book Stuart read last week?
D. Stuart is reading a book that has a total of 20 chapters. This is 5 times
the number of chapters as the book Stuart read last week. How many
chapters were in the book Stuart read last week?
8. Amanda has 24 pieces of orange-flavored candy to share equally
among friends. Which is a variable in this situation?
A. The number of friends who will receive candy
B. The number of pieces of candy that Sylvia has
C. The flavor of each piece of candy
D. The color of each piece of candy